106896306430489 has 9 divisors (see below), whose sum is σ = 107966219402271. Its totient is φ = 105836893252200.

The previous prime is 106896306430483. The next prime is 106896306430493. The reversal of 106896306430489 is 984034603698601.

The square root of 106896306430489 is 10339067.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102704705354889 + 4191601075600 = 10134333^2 + 2047340^2 .

It is not a de Polignac number, because 106896306430489 - 2³³ = 106887716495897 is a prime.

It is a super-2 number, since 2×106896306430489² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106896306430483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1044194584 + ... + 1044296950.

Almost surely, 2^{106896306430489} is an apocalyptic number.

106896306430489 is the 10339067-th square number.

106896306430489 is the 5169534-th centered octagonal number.

It is an amenable number.

106896306430489 is a deficient number, since it is larger than the sum of its proper divisors (1069912971782).

106896306430489 is an frugal number, since it uses more digits than its factorization.

106896306430489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204936 (or 102468 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 67.

The spelling of 106896306430489 in words is "one hundred six trillion, eight hundred ninety-six billion, three hundred six million, four hundred thirty thousand, four hundred eighty-nine".